University Physics Volume 2
University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
bartleby

Concept explainers

bartleby

Videos

Textbook Question
Book Icon
Chapter 12, Problem 76AP

A charge of 4.0 μ C .s distributed uniformly around a thin ring of insulating material. The ring has a radius of 0.20 m and rotates at 2.0 × 10 4 rev/min around die axis that passes through its center and is perpendicular to the plane of the ring. What is the magnetic field at the center of the ring?

Blurred answer
Students have asked these similar questions
Question B3 Consider the following FLRW spacetime: t2 ds² = -dt² + (dx² + dy²+ dz²), t2 where t is a constant. a) State whether this universe is spatially open, closed or flat. [2 marks] b) Determine the Hubble factor H(t), and represent it in a (roughly drawn) plot as a function of time t, starting at t = 0. [3 marks] c) Taking galaxy A to be located at (x, y, z) = (0,0,0), determine the proper distance to galaxy B located at (x, y, z) = (L, 0, 0). Determine the recessional velocity of galaxy B with respect to galaxy A. d) The Friedmann equations are 2 k 8πG а 4πG + a² (p+3p). 3 a 3 [5 marks] Use these equations to determine the energy density p(t) and the pressure p(t) for the FLRW spacetime specified at the top of the page. [5 marks] e) Given the result of question B3.d, state whether the FLRW universe in question is (i) radiation-dominated, (ii) matter-dominated, (iii) cosmological-constant-dominated, or (iv) none of the previous. Justify your answer. f) [5 marks] A conformally…
SECTION B Answer ONLY TWO questions in Section B [Expect to use one single-sided A4 page for each Section-B sub question.] Question B1 Consider the line element where w is a constant. ds²=-dt²+e2wt dx², a) Determine the components of the metric and of the inverse metric. [2 marks] b) Determine the Christoffel symbols. [See the Appendix of this document.] [10 marks] c) Write down the geodesic equations. [5 marks] d) Show that e2wt it is a constant of geodesic motion. [4 marks] e) Solve the geodesic equations for null geodesics. [4 marks]
Page 2 SECTION A Answer ALL questions in Section A [Expect to use one single-sided A4 page for each Section-A sub question.] Question A1 SPA6308 (2024) Consider Minkowski spacetime in Cartesian coordinates th = (t, x, y, z), such that ds² = dt² + dx² + dy² + dz². (a) Consider the vector with components V" = (1,-1,0,0). Determine V and V. V. (b) Consider now the coordinate system x' (u, v, y, z) such that u =t-x, v=t+x. [2 marks] Write down the line element, the metric, the Christoffel symbols and the Riemann curvature tensor in the new coordinates. [See the Appendix of this document.] [5 marks] (c) Determine V", that is, write the object in question A1.a in the coordinate system x'. Verify explicitly that V. V is invariant under the coordinate transformation. Question A2 [5 marks] Suppose that A, is a covector field, and consider the object Fv=AAμ. (a) Show explicitly that F is a tensor, that is, show that it transforms appropriately under a coordinate transformation. [5 marks] (b)…

Chapter 12 Solutions

University Physics Volume 2

Ch. 12 - How can you decide if a wire is infinite?Ch. 12 - Identical currents are carried in two circular...Ch. 12 - How would you orient two long, straight, current...Ch. 12 - Compare and contrast the electric field of an...Ch. 12 - Is B constant in magnitude for points that lie on...Ch. 12 - Is the magnetic field of a current loop uniform?Ch. 12 - What happens to the length of a suspended spring...Ch. 12 - Two concentric circular wines with different...Ch. 12 - Is Ampere’s law valid for all closed paths? Why...Ch. 12 - Is the magnetic field inside a toroid completely...Ch. 12 - Explain why B=0 inside a long, hollow copper pipe...Ch. 12 - A diamagnetic material is brought dose to a...Ch. 12 - If you cut a bar magnet into two pieces, will you...Ch. 12 - A 10-A current flows through the wire shown. What...Ch. 12 - Ten amps flow through a square loop where each...Ch. 12 - What is the magnetic field at P due to the current...Ch. 12 - The accompanying figure shows a current loop...Ch. 12 - Find the magnetic field at the center C of the...Ch. 12 - Two long wires, one of which has a semicircular...Ch. 12 - A typical currant in a lightning bolt is 104 A....Ch. 12 - The magnitude of the magnetic field 50 cm from a...Ch. 12 - A transmission line strung 7.0 m above the ground...Ch. 12 - A long, straight, horizontal wire carries a...Ch. 12 - The two long, parallel wires shown in the...Ch. 12 - The accompanying figure shows two long, straight,...Ch. 12 - Repeat the calculations of the preceding problem...Ch. 12 - Consider the area between the wires of the...Ch. 12 - Two long, straight wires are parallel and 25 cm...Ch. 12 - Two long, straight wires are parallel and 10 cm...Ch. 12 - Two long, parallel wires are hung by cords of...Ch. 12 - A circuit with current I has two long parallel...Ch. 12 - The infinite, straight wire shown in the...Ch. 12 - When the current through a circular loop is 6.0 A,...Ch. 12 - How many turns must be wound on a flat, circular...Ch. 12 - A flat, circular loop has 20 turns. The radius of...Ch. 12 - A circular loop of radius R carries a current I....Ch. 12 - Two flat, circular coils, each with a radius R and...Ch. 12 - For the coils in the preceding problem, what is...Ch. 12 - A current 1 flows around the rectangular loop...Ch. 12 - Evaluate BdI for each of the cases shown in the...Ch. 12 - The coil whose lengthwise cross section is shown...Ch. 12 - A superconducting wire of diameter 0.25 cm carries...Ch. 12 - A long, straight wire of radius R caries a current...Ch. 12 - The accompanying figure shows a cross-section of a...Ch. 12 - A long, solid, cylindrical conductor of radius 3.0...Ch. 12 - A portion of a long, cylindrical coaxial cable is...Ch. 12 - A solenoid is wound with 2000 turns pet meter....Ch. 12 - A solenoid has 12 turns per centimeter. What...Ch. 12 - If a current is 2.0 A, bow many turns per...Ch. 12 - A solenoid is 40 cm long, has a diameter of 3.0...Ch. 12 - Determine the magnetic field on the central axis...Ch. 12 - By how much is the approximation B=0nI in error at...Ch. 12 - A solenoid with 25 turns per centimeter carries a...Ch. 12 - A toroid has 250 trims of wire and carries a...Ch. 12 - A toroid with a square cross section 3.0cm3.0cm...Ch. 12 - The magnetic field in the core of an air-filled...Ch. 12 - A solenoid has a ferromagnetic core, n = 1000...Ch. 12 - A 20-A current flows through a solenoid with 2000...Ch. 12 - The magnetic dipole moment of the iron atom is...Ch. 12 - Suppose you wish to produce 1.2-T magnetic field...Ch. 12 - A current of 1.5 A flows through the windings of a...Ch. 12 - A solenoid with an iron core is 25 cm long and is...Ch. 12 - Three long, straight, parallel wires, all carrying...Ch. 12 - A current I flows around a wire bent into the...Ch. 12 - The accompanying figure shows a long, straight...Ch. 12 - Current flows along a thin, infinite sheet as...Ch. 12 - (a) Use the result of the previous problem to...Ch. 12 - We often assume that the magnetic field is uniform...Ch. 12 - How is the percentage change in the strength of...Ch. 12 - Show that the expression for the magnetic field of...Ch. 12 - A toroid with an inner radius of 20 cm and an...Ch. 12 - A wire element has dI,IdI=JAdl=Jdv , where A and...Ch. 12 - A reasonably uniform magnetic field over a limited...Ch. 12 - A charge of 4.0C .s distributed uniformly around a...Ch. 12 - A thin, nonconducting disk of radius R is free to...Ch. 12 - Consider the disk in the previous problem....Ch. 12 - Consider the axial magnetic field...Ch. 12 - The current density in the long, cylindrical wire...Ch. 12 - A long, straight, cylindrical conductor contains a...Ch. 12 - Between the two ends of a horseshoe magnet the...Ch. 12 - Show that the magnetic field of a thin wire and...Ch. 12 - An Ampere loop is chosen as shown by dashed lines...Ch. 12 - , A ray long, thick, cylindrical wire of radius R...Ch. 12 - A very long, cylindrical wire of radius a has a...Ch. 12 - Magnetic field inside a torus. Consider a torus of...Ch. 12 - Two long coaxial copper tubes, each of length L,...Ch. 12 - The accompanying figure shows a flat, infinitely...Ch. 12 - A hypothetical current flowing in the z-direction...Ch. 12 - A nonconducting hard rubber circular disk of...
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
College Physics
Physics
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics Volume 2
Physics
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Text book image
Physics for Scientists and Engineers, Technology ...
Physics
ISBN:9781305116399
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Principles of Physics: A Calculus-Based Text
Physics
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Physics for Scientists and Engineers with Modern ...
Physics
ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Magnets and Magnetic Fields; Author: Professor Dave explains;https://www.youtube.com/watch?v=IgtIdttfGVw;License: Standard YouTube License, CC-BY